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Finding the Fourth Proportional to 60.54, 83.60 and 45.06

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Solution

The fourth proportional to 60.54, 83.60 and 45.06 is: 62.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.54 : 83.60 = 45.06 : x
  2. Step 2: Convert to fraction form
    60.54/83.60 = 45.06/x
  3. Step 3: Cross multiply
    60.54x = 83.60 × 45.06
  4. Step 4: Simplify right side
    60.54x = 3,767.02
  5. Step 5: Solve for x
    x = 3,767.02/60.54
  6. Step 6: Final answer
    x = 62.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.